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math.AP2023
Stable plane Euler flows with concentrated and sign-changing vorticity
Guodong Wang, Bijun Zuo
We construct a family of steady solutions to the two-dimensional incompressible Euler equation in a general bounded domain, such that the vorticity is supported in two well-separat…
math.AP2022
On concentrated traveling vortex pairs with prescribed impulse
Guodong Wang
In this paper, we consider a constrained maximization problem related to planar vortex pairs with prescribed impulse. We prove existence, stability and asymptotic behavior for the…
math.AP2019★ 2 cited
Asymptotic behavior of global vortex rings
Daomin Cao, Jie Wan, Guodong Wang +1
In this paper, we are concerned with nonlinear desingularization of steady vortex rings in with given general nonlinearity . Using the improved vorticity method,…